Cylindrical solitons in a warm, multi-ion plasma

The soliton problem for ion acoustic waves propagating in a warm plasma consisting of a mixture of two ion species is solved for cylindrically symmetric ingoing waves. The small amplitude approximation is made and a modified Korteweg–de Vries equation is obtained. The early time solution show that the solitons for the two ion species plasma are narrower in spatial width and propagate faster than their counterpart in the single ion plasma. Also, a given initial disturbance will break up into more solitons in the multi-ion, warm plasma than in the cold single-ion plasma.